To determine if a relation is a function, each input (from the domain) must be associated with exactly one output (from the range). Let's analyze the given relation:

Analysis of the Given Relation:

• The left set (domain) contains the elements: $-7$ and $11$.
• The right set (range) contains the elements: $3$, $5$, and $8$.
• The relation is as follows:
  • $-7$ maps to $3$
  • $11$ maps to $5$
  • $11$ maps to $8$

Conclusion:

A function assigns each input exactly one output. Here, the input $11$ is associated with two different outputs ($5$ and $8$). Therefore, this relation is not a function.

Would you like more details on this topic, or do you have any questions?

Related Questions:

1. What defines a function in mathematics?
2. Can a function have the same output for different inputs?
3. What are one-to-one and onto functions?
4. How do we determine the domain and range of a relation?
5. What is the difference between a function and a relation?

Tip:

When determining if a relation is a function, always check if each input value is paired with only one unique output.